Exercise 3
Yuting Huang, Jipeng Cheng, Weidi Hou
4/5/2022
Problem 1: What causes what?
Problem 2: Tree modeling: dengue cases
Problem 3: Predictive model building: green certification
problem 4: Predictive model building: California housing
Our purpose is to build the best predictive model to forecast the median house value in California. According to the topic description, in the beginning, we have to conduct standardized processing for “totalRooms” and totalBedrooms" by creating the new variables including “sdrooms” and “sdbedrooms”. Then we utilized three different methods including Step wise, Random Forecast and boost, to build the best predictive model.
## longitude latitude housingMedianAge totalRooms totalBedrooms population
## 1 -122.23 37.88 41 880 129 322
## 2 -122.22 37.86 21 7099 1106 2401
## 3 -122.24 37.85 52 1467 190 496
## 4 -122.25 37.85 52 1274 235 558
## 5 -122.25 37.85 52 1627 280 565
## 6 -122.25 37.85 52 919 213 413
## households medianIncome medianHouseValue
## 1 126 8.3252 452600
## 2 1138 8.3014 358500
## 3 177 7.2574 352100
## 4 219 5.6431 341300
## 5 259 3.8462 342200
## 6 193 4.0368 269700##
## Call:
## lm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome, data = cahousing_train)
##
## Coefficients:
## (Intercept) longitude latitude housingMedianAge
## -3.650e+06 -4.303e+04 -4.194e+04 9.734e+02
## sdrooms sdbedrooms population medianIncome
## -1.022e+04 6.102e+04 -9.665e-01 4.327e+04## Start: AIC=323316.3
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome
##
## Df Sum of Sq RSS AIC
## + sdbedrooms:population 1 7.2614e+11 7.4884e+13 323179
## + sdrooms:medianIncome 1 3.2017e+11 7.5290e+13 323257
## + housingMedianAge:medianIncome 1 2.6938e+11 7.5341e+13 323267
## + sdrooms:sdbedrooms 1 2.5462e+11 7.5355e+13 323270
## + sdbedrooms:medianIncome 1 2.5130e+11 7.5359e+13 323270
## + latitude:medianIncome 1 1.6465e+11 7.5445e+13 323287
## + population:medianIncome 1 1.2138e+11 7.5489e+13 323295
## + housingMedianAge:sdbedrooms 1 8.2896e+10 7.5527e+13 323302
## + housingMedianAge:sdrooms 1 6.7501e+10 7.5543e+13 323305
## + longitude:housingMedianAge 1 6.4677e+10 7.5545e+13 323306
## + latitude:sdbedrooms 1 6.1324e+10 7.5549e+13 323307
## + latitude:housingMedianAge 1 3.3047e+10 7.5577e+13 323312
## + longitude:medianIncome 1 1.2929e+10 7.5597e+13 323316
## <none> 7.5610e+13 323316
## + longitude:population 1 9.4516e+09 7.5601e+13 323316
## + longitude:sdbedrooms 1 7.7700e+09 7.5602e+13 323317
## + sdrooms:population 1 7.3483e+09 7.5603e+13 323317
## + latitude:sdrooms 1 5.7590e+09 7.5604e+13 323317
## - population 1 1.5226e+10 7.5625e+13 323317
## + housingMedianAge:population 1 5.5232e+09 7.5605e+13 323317
## + latitude:population 1 3.1807e+09 7.5607e+13 323318
## + longitude:sdrooms 1 7.7384e+08 7.5609e+13 323318
## + longitude:latitude 1 3.2338e+08 7.5610e+13 323318
## - sdrooms 1 1.1339e+12 7.6744e+13 323529
## - housingMedianAge 1 1.7634e+12 7.7373e+13 323647
## - sdbedrooms 1 1.7943e+12 7.7404e+13 323653
## - longitude 1 1.2070e+13 8.7680e+13 325454
## - latitude 1 1.2658e+13 8.8268e+13 325550
## - medianIncome 1 3.9661e+13 1.1527e+14 329407
##
## Step: AIC=323178.9
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population
##
## Df Sum of Sq RSS AIC
## + sdrooms:medianIncome 1 3.9304e+11 7.4491e+13 323105
## + sdbedrooms:medianIncome 1 2.6627e+11 7.4618e+13 323129
## + housingMedianAge:medianIncome 1 2.5060e+11 7.4633e+13 323132
## + latitude:sdrooms 1 1.7716e+11 7.4707e+13 323147
## + latitude:medianIncome 1 1.6720e+11 7.4717e+13 323149
## + population:medianIncome 1 1.4267e+11 7.4741e+13 323153
## + sdrooms:population 1 1.1290e+11 7.4771e+13 323159
## + latitude:housingMedianAge 1 5.9886e+10 7.4824e+13 323169
## + longitude:sdrooms 1 3.0930e+10 7.4853e+13 323175
## + longitude:housingMedianAge 1 2.6036e+10 7.4858e+13 323176
## + latitude:sdbedrooms 1 2.2093e+10 7.4862e+13 323177
## + longitude:sdbedrooms 1 1.9947e+10 7.4864e+13 323177
## + longitude:population 1 1.8519e+10 7.4865e+13 323177
## + longitude:medianIncome 1 1.4546e+10 7.4869e+13 323178
## + sdrooms:sdbedrooms 1 1.3592e+10 7.4870e+13 323178
## <none> 7.4884e+13 323179
## + housingMedianAge:sdrooms 1 5.0097e+09 7.4879e+13 323180
## + housingMedianAge:sdbedrooms 1 4.3029e+09 7.4880e+13 323180
## + latitude:population 1 3.3559e+09 7.4881e+13 323180
## + longitude:latitude 1 1.2831e+09 7.4883e+13 323181
## + housingMedianAge:population 1 5.0362e+08 7.4883e+13 323181
## - sdbedrooms:population 1 7.2614e+11 7.5610e+13 323316
## - sdrooms 1 1.0705e+12 7.5954e+13 323382
## - housingMedianAge 1 1.9535e+12 7.6837e+13 323549
## - longitude 1 1.2576e+13 8.7460e+13 325420
## - latitude 1 1.3128e+13 8.8012e+13 325511
## - medianIncome 1 3.9935e+13 1.1482e+14 329352
##
## Step: AIC=323104.8
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome
##
## Df Sum of Sq RSS AIC
## + housingMedianAge:medianIncome 1 1.8765e+11 7.4303e+13 323070
## + latitude:sdrooms 1 1.6025e+11 7.4331e+13 323076
## + latitude:medianIncome 1 1.5211e+11 7.4339e+13 323077
## + population:medianIncome 1 1.1276e+11 7.4378e+13 323085
## + sdrooms:population 1 1.1074e+11 7.4380e+13 323085
## + latitude:housingMedianAge 1 5.6595e+10 7.4434e+13 323096
## + longitude:sdrooms 1 5.6026e+10 7.4435e+13 323096
## + longitude:sdbedrooms 1 4.4016e+10 7.4447e+13 323098
## + latitude:sdbedrooms 1 2.8727e+10 7.4462e+13 323101
## + longitude:housingMedianAge 1 2.6168e+10 7.4465e+13 323102
## + housingMedianAge:sdrooms 1 1.9874e+10 7.4471e+13 323103
## + longitude:population 1 1.4564e+10 7.4476e+13 323104
## + longitude:medianIncome 1 1.2210e+10 7.4479e+13 323104
## + sdrooms:sdbedrooms 1 1.0743e+10 7.4480e+13 323105
## <none> 7.4491e+13 323105
## + sdbedrooms:medianIncome 1 9.3301e+09 7.4482e+13 323105
## + housingMedianAge:sdbedrooms 1 1.8617e+09 7.4489e+13 323106
## + latitude:population 1 1.7838e+09 7.4489e+13 323106
## + longitude:latitude 1 1.0861e+09 7.4490e+13 323107
## + housingMedianAge:population 1 5.4790e+05 7.4491e+13 323107
## - sdrooms:medianIncome 1 3.9304e+11 7.4884e+13 323179
## - sdbedrooms:population 1 7.9901e+11 7.5290e+13 323257
## - housingMedianAge 1 2.0193e+12 7.6510e+13 323489
## - longitude 1 1.2077e+13 8.6568e+13 325273
## - latitude 1 1.2598e+13 8.7089e+13 325360
##
## Step: AIC=323070.4
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome
##
## Df Sum of Sq RSS AIC
## + population:medianIncome 1 2.2479e+11 7.4078e+13 323029
## + latitude:medianIncome 1 1.8017e+11 7.4123e+13 323037
## + latitude:sdrooms 1 1.4407e+11 7.4159e+13 323044
## + housingMedianAge:sdrooms 1 1.1919e+11 7.4184e+13 323049
## + sdrooms:population 1 6.3569e+10 7.4240e+13 323060
## + longitude:sdrooms 1 4.2783e+10 7.4260e+13 323064
## + longitude:sdbedrooms 1 4.1822e+10 7.4261e+13 323064
## + latitude:housingMedianAge 1 3.8698e+10 7.4264e+13 323065
## + longitude:housingMedianAge 1 3.0196e+10 7.4273e+13 323067
## + longitude:medianIncome 1 2.7947e+10 7.4275e+13 323067
## + latitude:sdbedrooms 1 2.6640e+10 7.4277e+13 323067
## + longitude:population 1 1.6297e+10 7.4287e+13 323069
## + sdrooms:sdbedrooms 1 1.1207e+10 7.4292e+13 323070
## <none> 7.4303e+13 323070
## + sdbedrooms:medianIncome 1 5.9715e+09 7.4297e+13 323071
## + latitude:population 1 1.6278e+09 7.4302e+13 323072
## + longitude:latitude 1 1.0455e+09 7.4302e+13 323072
## + housingMedianAge:sdbedrooms 1 7.1356e+08 7.4302e+13 323072
## + housingMedianAge:population 1 1.8427e+07 7.4303e+13 323072
## - housingMedianAge:medianIncome 1 1.8765e+11 7.4491e+13 323105
## - sdrooms:medianIncome 1 3.3010e+11 7.4633e+13 323132
## - sdbedrooms:population 1 7.7548e+11 7.5079e+13 323218
## - longitude 1 1.2252e+13 8.6555e+13 325273
## - latitude 1 1.2781e+13 8.7084e+13 325361
##
## Step: AIC=323028.6
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome
##
## Df Sum of Sq RSS AIC
## + sdrooms:population 1 7.1842e+11 7.3360e+13 322890
## + latitude:sdrooms 1 1.7486e+11 7.3904e+13 322996
## + latitude:medianIncome 1 1.4857e+11 7.3930e+13 323002
## + housingMedianAge:sdrooms 1 1.1648e+11 7.3962e+13 323008
## + longitude:sdrooms 1 5.1291e+10 7.4027e+13 323021
## + latitude:housingMedianAge 1 4.1833e+10 7.4037e+13 323022
## + longitude:sdbedrooms 1 4.1124e+10 7.4037e+13 323023
## + latitude:sdbedrooms 1 2.9506e+10 7.4049e+13 323025
## + longitude:housingMedianAge 1 2.8078e+10 7.4050e+13 323025
## + housingMedianAge:population 1 1.9505e+10 7.4059e+13 323027
## + longitude:medianIncome 1 1.7839e+10 7.4061e+13 323027
## <none> 7.4078e+13 323029
## + longitude:population 1 8.0770e+09 7.4070e+13 323029
## + sdbedrooms:medianIncome 1 7.1941e+09 7.4071e+13 323029
## + sdrooms:sdbedrooms 1 7.1927e+09 7.4071e+13 323029
## + longitude:latitude 1 1.6122e+09 7.4077e+13 323030
## + latitude:population 1 6.1762e+08 7.4078e+13 323031
## + housingMedianAge:sdbedrooms 1 4.8647e+08 7.4078e+13 323031
## - population:medianIncome 1 2.2479e+11 7.4303e+13 323070
## - sdrooms:medianIncome 1 2.7358e+11 7.4352e+13 323080
## - housingMedianAge:medianIncome 1 2.9969e+11 7.4378e+13 323085
## - sdbedrooms:population 1 7.9360e+11 7.4872e+13 323181
## - longitude 1 1.2302e+13 8.6381e+13 325246
## - latitude 1 1.2876e+13 8.6954e+13 325342
##
## Step: AIC=322889.8
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population
##
## Df Sum of Sq RSS AIC
## + latitude:medianIncome 1 1.5890e+11 7.3201e+13 322861
## + housingMedianAge:sdrooms 1 1.1421e+11 7.3246e+13 322869
## + latitude:sdrooms 1 7.6993e+10 7.3283e+13 322877
## + latitude:housingMedianAge 1 4.2968e+10 7.3317e+13 322883
## + longitude:sdbedrooms 1 3.7775e+10 7.3322e+13 322884
## + longitude:housingMedianAge 1 3.6034e+10 7.3324e+13 322885
## + longitude:sdrooms 1 2.5155e+10 7.3335e+13 322887
## + latitude:sdbedrooms 1 2.3701e+10 7.3336e+13 322887
## + longitude:medianIncome 1 2.3132e+10 7.3337e+13 322887
## + housingMedianAge:population 1 1.3374e+10 7.3347e+13 322889
## <none> 7.3360e+13 322890
## + sdrooms:sdbedrooms 1 6.7018e+09 7.3353e+13 322891
## + latitude:population 1 5.8910e+09 7.3354e+13 322891
## + longitude:population 1 1.6306e+09 7.3358e+13 322892
## + sdbedrooms:medianIncome 1 1.6187e+09 7.3358e+13 322892
## + housingMedianAge:sdbedrooms 1 2.3329e+08 7.3360e+13 322892
## + longitude:latitude 1 5.3005e+07 7.3360e+13 322892
## - sdrooms:medianIncome 1 2.0576e+11 7.3566e+13 322928
## - housingMedianAge:medianIncome 1 3.0545e+11 7.3665e+13 322948
## - sdrooms:population 1 7.1842e+11 7.4078e+13 323029
## - population:medianIncome 1 8.7965e+11 7.4240e+13 323060
## - sdbedrooms:population 1 1.4955e+12 7.4855e+13 323179
## - longitude 1 1.1736e+13 8.5096e+13 325032
## - latitude 1 1.2203e+13 8.5563e+13 325111
##
## Step: AIC=322860.5
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome
##
## Df Sum of Sq RSS AIC
## + longitude:medianIncome 1 5.7830e+11 7.2623e+13 322748
## + latitude:sdrooms 1 1.9571e+11 7.3005e+13 322824
## + housingMedianAge:sdrooms 1 1.2517e+11 7.3076e+13 322838
## + longitude:sdrooms 1 9.9794e+10 7.3101e+13 322843
## + latitude:housingMedianAge 1 6.9034e+10 7.3132e+13 322849
## + longitude:sdbedrooms 1 2.4475e+10 7.3177e+13 322858
## + longitude:housingMedianAge 1 2.2308e+10 7.3179e+13 322858
## + latitude:sdbedrooms 1 1.5819e+10 7.3185e+13 322859
## + housingMedianAge:population 1 1.2709e+10 7.3188e+13 322860
## <none> 7.3201e+13 322861
## + latitude:population 1 9.3683e+09 7.3192e+13 322861
## + sdrooms:sdbedrooms 1 7.4008e+09 7.3194e+13 322861
## + longitude:population 1 3.2743e+09 7.3198e+13 322862
## + longitude:latitude 1 1.7749e+09 7.3199e+13 322862
## + sdbedrooms:medianIncome 1 1.5562e+09 7.3200e+13 322862
## + housingMedianAge:sdbedrooms 1 3.2629e+07 7.3201e+13 322862
## - latitude:medianIncome 1 1.5890e+11 7.3360e+13 322890
## - sdrooms:medianIncome 1 1.9442e+11 7.3395e+13 322897
## - housingMedianAge:medianIncome 1 3.2730e+11 7.3528e+13 322923
## - sdrooms:population 1 7.2876e+11 7.3930e+13 323002
## - population:medianIncome 1 8.4167e+11 7.4043e+13 323024
## - sdbedrooms:population 1 1.5026e+12 7.4704e+13 323152
## - longitude 1 1.1787e+13 8.4988e+13 325015
##
## Step: AIC=322747.9
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome
##
## Df Sum of Sq RSS AIC
## + latitude:sdrooms 1 2.1746e+11 7.2405e+13 322707
## + housingMedianAge:sdrooms 1 1.6426e+11 7.2459e+13 322717
## + latitude:housingMedianAge 1 1.0036e+11 7.2522e+13 322730
## + sdbedrooms:medianIncome 1 6.3356e+10 7.2559e+13 322737
## + longitude:sdrooms 1 6.0588e+10 7.2562e+13 322738
## + longitude:sdbedrooms 1 3.5931e+10 7.2587e+13 322743
## + longitude:housingMedianAge 1 2.3592e+10 7.2599e+13 322745
## + latitude:sdbedrooms 1 2.0188e+10 7.2603e+13 322746
## + housingMedianAge:population 1 1.5991e+10 7.2607e+13 322747
## + latitude:population 1 1.5223e+10 7.2608e+13 322747
## <none> 7.2623e+13 322748
## + sdrooms:sdbedrooms 1 8.2631e+09 7.2615e+13 322748
## + longitude:population 1 5.1115e+09 7.2618e+13 322749
## + longitude:latitude 1 2.6983e+09 7.2620e+13 322749
## + housingMedianAge:sdbedrooms 1 2.3258e+08 7.2623e+13 322750
## - housingMedianAge:medianIncome 1 1.7876e+11 7.2802e+13 322781
## - sdrooms:medianIncome 1 1.8340e+11 7.2806e+13 322782
## - longitude:medianIncome 1 5.7830e+11 7.3201e+13 322861
## - sdrooms:population 1 6.9822e+11 7.3321e+13 322884
## - latitude:medianIncome 1 7.1407e+11 7.3337e+13 322887
## - population:medianIncome 1 7.8612e+11 7.3409e+13 322901
## - sdbedrooms:population 1 1.4551e+12 7.4078e+13 323033
##
## Step: AIC=322706.6
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms
##
## Df Sum of Sq RSS AIC
## + latitude:sdbedrooms 1 3.3839e+11 7.2067e+13 322641
## + housingMedianAge:sdrooms 1 2.3926e+11 7.2166e+13 322661
## + longitude:sdrooms 1 1.3500e+11 7.2270e+13 322682
## + longitude:sdbedrooms 1 9.2216e+10 7.2313e+13 322690
## + latitude:housingMedianAge 1 6.7388e+10 7.2338e+13 322695
## + sdbedrooms:medianIncome 1 5.7489e+10 7.2348e+13 322697
## + sdrooms:sdbedrooms 1 5.3345e+10 7.2352e+13 322698
## + longitude:housingMedianAge 1 4.6251e+10 7.2359e+13 322699
## + latitude:population 1 2.3416e+10 7.2382e+13 322704
## + housingMedianAge:sdbedrooms 1 1.3643e+10 7.2392e+13 322706
## + longitude:population 1 1.1897e+10 7.2393e+13 322706
## <none> 7.2405e+13 322707
## + housingMedianAge:population 1 9.7460e+09 7.2396e+13 322707
## + longitude:latitude 1 1.7459e+09 7.2404e+13 322708
## - sdrooms:medianIncome 1 1.6925e+11 7.2575e+13 322738
## - housingMedianAge:medianIncome 1 1.7263e+11 7.2578e+13 322739
## - latitude:sdrooms 1 2.1746e+11 7.2623e+13 322748
## - sdrooms:population 1 5.4749e+11 7.2953e+13 322813
## - longitude:medianIncome 1 6.0005e+11 7.3005e+13 322824
## - population:medianIncome 1 7.0618e+11 7.3112e+13 322845
## - latitude:medianIncome 1 8.1288e+11 7.3218e+13 322866
## - sdbedrooms:population 1 1.6395e+12 7.4045e+13 323028
##
## Step: AIC=322640.9
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms
##
## Df Sum of Sq RSS AIC
## + housingMedianAge:sdrooms 1 1.7538e+11 7.1892e+13 322608
## + sdbedrooms:medianIncome 1 1.2847e+11 7.1938e+13 322617
## + longitude:sdrooms 1 8.5698e+10 7.1981e+13 322626
## + longitude:housingMedianAge 1 5.9261e+10 7.2008e+13 322631
## + latitude:housingMedianAge 1 5.3835e+10 7.2013e+13 322632
## + longitude:sdbedrooms 1 2.6762e+10 7.2040e+13 322638
## + sdrooms:sdbedrooms 1 2.6524e+10 7.2040e+13 322638
## + latitude:population 1 1.7842e+10 7.2049e+13 322639
## <none> 7.2067e+13 322641
## + longitude:population 1 9.0328e+09 7.2058e+13 322641
## + housingMedianAge:population 1 6.1269e+09 7.2061e+13 322642
## + longitude:latitude 1 4.2560e+09 7.2063e+13 322642
## + housingMedianAge:sdbedrooms 1 2.0762e+09 7.2065e+13 322643
## - sdrooms:medianIncome 1 1.0469e+11 7.2172e+13 322660
## - housingMedianAge:medianIncome 1 1.7543e+11 7.2242e+13 322674
## - sdrooms:population 1 3.0220e+11 7.2369e+13 322699
## - latitude:sdbedrooms 1 3.3839e+11 7.2405e+13 322707
## - population:medianIncome 1 5.3033e+11 7.2597e+13 322745
## - latitude:sdrooms 1 5.3566e+11 7.2603e+13 322746
## - longitude:medianIncome 1 6.1200e+11 7.2679e+13 322761
## - sdbedrooms:population 1 9.8932e+11 7.3056e+13 322836
## - latitude:medianIncome 1 1.0424e+12 7.3109e+13 322846
##
## Step: AIC=322607.7
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms
##
## Df Sum of Sq RSS AIC
## + housingMedianAge:sdbedrooms 1 4.7493e+11 7.1417e+13 322514
## + sdbedrooms:medianIncome 1 1.6489e+11 7.1727e+13 322577
## + longitude:housingMedianAge 1 6.3341e+10 7.1828e+13 322597
## + longitude:sdrooms 1 5.2168e+10 7.1839e+13 322599
## + longitude:sdbedrooms 1 3.8342e+10 7.1853e+13 322602
## + latitude:housingMedianAge 1 3.3238e+10 7.1858e+13 322603
## + latitude:population 1 2.0375e+10 7.1871e+13 322606
## + sdrooms:sdbedrooms 1 1.3947e+10 7.1878e+13 322607
## + housingMedianAge:population 1 1.1749e+10 7.1880e+13 322607
## <none> 7.1892e+13 322608
## + longitude:population 1 9.0349e+09 7.1883e+13 322608
## + longitude:latitude 1 2.7399e+09 7.1889e+13 322609
## - sdrooms:medianIncome 1 1.2754e+11 7.2019e+13 322631
## - housingMedianAge:sdrooms 1 1.7538e+11 7.2067e+13 322641
## - latitude:sdbedrooms 1 2.7450e+11 7.2166e+13 322661
## - housingMedianAge:medianIncome 1 2.9867e+11 7.2190e+13 322666
## - sdrooms:population 1 3.0309e+11 7.2195e+13 322666
## - latitude:sdrooms 1 5.1413e+11 7.2406e+13 322709
## - population:medianIncome 1 5.2632e+11 7.2418e+13 322711
## - longitude:medianIncome 1 6.5650e+11 7.2548e+13 322737
## - sdbedrooms:population 1 8.8599e+11 7.2778e+13 322783
## - latitude:medianIncome 1 1.0930e+12 7.2985e+13 322824
##
## Step: AIC=322514
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms
##
## Df Sum of Sq RSS AIC
## + sdbedrooms:medianIncome 1 1.4670e+11 7.1270e+13 322486
## + longitude:housingMedianAge 1 7.2651e+10 7.1344e+13 322501
## + longitude:sdbedrooms 1 3.5329e+10 7.1381e+13 322509
## + sdrooms:sdbedrooms 1 2.7054e+10 7.1390e+13 322510
## + longitude:sdrooms 1 2.5550e+10 7.1391e+13 322511
## + housingMedianAge:population 1 1.8807e+10 7.1398e+13 322512
## + latitude:housingMedianAge 1 1.5427e+10 7.1401e+13 322513
## + latitude:population 1 1.1335e+10 7.1405e+13 322514
## <none> 7.1417e+13 322514
## + longitude:population 1 6.1767e+09 7.1410e+13 322515
## + longitude:latitude 1 2.3672e+09 7.1414e+13 322515
## - sdrooms:medianIncome 1 2.3229e+11 7.1649e+13 322559
## - latitude:sdbedrooms 1 2.9168e+11 7.1708e+13 322571
## - sdrooms:population 1 3.8112e+11 7.1798e+13 322589
## - latitude:sdrooms 1 4.6709e+11 7.1884e+13 322606
## - housingMedianAge:sdbedrooms 1 4.7493e+11 7.1892e+13 322608
## - population:medianIncome 1 5.9744e+11 7.2014e+13 322632
## - housingMedianAge:sdrooms 1 6.4823e+11 7.2065e+13 322643
## - longitude:medianIncome 1 7.2587e+11 7.2142e+13 322658
## - housingMedianAge:medianIncome 1 7.3644e+11 7.2153e+13 322660
## - sdbedrooms:population 1 9.9439e+11 7.2411e+13 322712
## - latitude:medianIncome 1 1.1692e+12 7.2586e+13 322747
##
## Step: AIC=322486.3
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome
##
## Df Sum of Sq RSS AIC
## + longitude:housingMedianAge 1 7.2166e+10 7.1198e+13 322474
## + longitude:sdrooms 1 4.2404e+10 7.1228e+13 322480
## + sdrooms:sdbedrooms 1 4.1146e+10 7.1229e+13 322480
## + longitude:sdbedrooms 1 2.7408e+10 7.1243e+13 322483
## + housingMedianAge:population 1 1.8911e+10 7.1251e+13 322484
## + latitude:housingMedianAge 1 1.5982e+10 7.1254e+13 322485
## <none> 7.1270e+13 322486
## + latitude:population 1 9.5682e+09 7.1260e+13 322486
## + longitude:population 1 4.4679e+09 7.1265e+13 322487
## + longitude:latitude 1 1.8417e+09 7.1268e+13 322488
## - sdbedrooms:medianIncome 1 1.4670e+11 7.1417e+13 322514
## - latitude:sdbedrooms 1 3.5964e+11 7.1630e+13 322557
## - sdrooms:medianIncome 1 3.7381e+11 7.1644e+13 322560
## - sdrooms:population 1 4.2119e+11 7.1691e+13 322569
## - housingMedianAge:sdbedrooms 1 4.5674e+11 7.1727e+13 322577
## - latitude:sdrooms 1 5.4078e+11 7.1811e+13 322593
## - population:medianIncome 1 6.2780e+11 7.1898e+13 322611
## - housingMedianAge:sdrooms 1 6.6115e+11 7.1931e+13 322618
## - housingMedianAge:medianIncome 1 7.3939e+11 7.2009e+13 322633
## - longitude:medianIncome 1 8.5560e+11 7.2126e+13 322657
## - sdbedrooms:population 1 1.0139e+12 7.2284e+13 322688
## - latitude:medianIncome 1 1.3138e+12 7.2584e+13 322748
##
## Step: AIC=322473.6
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge
##
## Df Sum of Sq RSS AIC
## + latitude:housingMedianAge 1 1.4260e+12 6.9772e+13 322183
## + sdrooms:sdbedrooms 1 4.6025e+10 7.1152e+13 322466
## + longitude:sdrooms 1 3.5169e+10 7.1163e+13 322468
## + longitude:sdbedrooms 1 3.1481e+10 7.1166e+13 322469
## + latitude:population 1 3.1381e+10 7.1166e+13 322469
## + longitude:population 1 2.3134e+10 7.1175e+13 322471
## + housingMedianAge:population 1 1.2325e+10 7.1185e+13 322473
## <none> 7.1198e+13 322474
## + longitude:latitude 1 6.7643e+09 7.1191e+13 322474
## - longitude:housingMedianAge 1 7.2166e+10 7.1270e+13 322486
## - sdbedrooms:medianIncome 1 1.4622e+11 7.1344e+13 322501
## - sdrooms:medianIncome 1 3.7215e+11 7.1570e+13 322547
## - latitude:sdbedrooms 1 3.7351e+11 7.1571e+13 322547
## - sdrooms:population 1 4.1789e+11 7.1616e+13 322556
## - housingMedianAge:sdbedrooms 1 4.6587e+11 7.1664e+13 322566
## - latitude:sdrooms 1 5.7504e+11 7.1773e+13 322588
## - population:medianIncome 1 6.2610e+11 7.1824e+13 322598
## - housingMedianAge:sdrooms 1 6.7448e+11 7.1872e+13 322608
## - housingMedianAge:medianIncome 1 7.5379e+11 7.1952e+13 322624
## - longitude:medianIncome 1 8.6149e+11 7.2059e+13 322645
## - sdbedrooms:population 1 9.8005e+11 7.2178e+13 322669
## - latitude:medianIncome 1 1.3177e+12 7.2515e+13 322737
##
## Step: AIC=322183.3
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge
##
## Df Sum of Sq RSS AIC
## + sdrooms:sdbedrooms 1 7.4079e+10 6.9698e+13 322170
## + longitude:sdbedrooms 1 5.0565e+10 6.9721e+13 322175
## + longitude:sdrooms 1 2.4674e+10 6.9747e+13 322180
## + housingMedianAge:population 1 1.4749e+10 6.9757e+13 322182
## + longitude:population 1 1.2304e+10 6.9759e+13 322183
## <none> 6.9772e+13 322183
## + longitude:latitude 1 7.1606e+09 6.9765e+13 322184
## + latitude:population 1 4.3886e+09 6.9767e+13 322184
## - housingMedianAge:medianIncome 1 1.3240e+11 6.9904e+13 322209
## - sdbedrooms:medianIncome 1 1.5653e+11 6.9928e+13 322214
## - housingMedianAge:sdrooms 1 1.7265e+11 6.9944e+13 322217
## - housingMedianAge:sdbedrooms 1 1.9944e+11 6.9971e+13 322223
## - sdrooms:medianIncome 1 3.0058e+11 7.0072e+13 322243
## - latitude:sdbedrooms 1 4.1901e+11 7.0191e+13 322268
## - sdrooms:population 1 5.2626e+11 7.0298e+13 322290
## - latitude:sdrooms 1 5.8278e+11 7.0355e+13 322301
## - population:medianIncome 1 7.2106e+11 7.0493e+13 322330
## - sdbedrooms:population 1 9.7500e+11 7.0747e+13 322382
## - longitude:medianIncome 1 1.3071e+12 7.1079e+13 322449
## - latitude:housingMedianAge 1 1.4260e+12 7.1198e+13 322474
## - longitude:housingMedianAge 1 1.4822e+12 7.1254e+13 322485
## - latitude:medianIncome 1 1.8757e+12 7.1647e+13 322565
##
## Step: AIC=322170
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms
##
## Df Sum of Sq RSS AIC
## + longitude:sdrooms 1 8.0222e+10 6.9617e+13 322155
## + housingMedianAge:population 1 1.6838e+10 6.9681e+13 322168
## + longitude:sdbedrooms 1 1.5318e+10 6.9682e+13 322169
## + longitude:population 1 1.3598e+10 6.9684e+13 322169
## <none> 6.9698e+13 322170
## + latitude:population 1 7.2663e+09 6.9690e+13 322170
## + longitude:latitude 1 6.5702e+09 6.9691e+13 322171
## - sdrooms:sdbedrooms 1 7.4079e+10 6.9772e+13 322183
## - housingMedianAge:medianIncome 1 1.3015e+11 6.9828e+13 322195
## - housingMedianAge:sdrooms 1 1.6558e+11 6.9863e+13 322202
## - sdbedrooms:medianIncome 1 1.7679e+11 6.9874e+13 322205
## - housingMedianAge:sdbedrooms 1 2.6663e+11 6.9964e+13 322223
## - sdrooms:medianIncome 1 3.1924e+11 7.0017e+13 322234
## - latitude:sdbedrooms 1 4.0985e+11 7.0108e+13 322253
## - sdrooms:population 1 5.3594e+11 7.0234e+13 322279
## - latitude:sdrooms 1 6.0934e+11 7.0307e+13 322294
## - population:medianIncome 1 7.1480e+11 7.0412e+13 322315
## - sdbedrooms:population 1 7.6603e+11 7.0464e+13 322326
## - longitude:medianIncome 1 1.3212e+12 7.1019e+13 322439
## - latitude:housingMedianAge 1 1.4541e+12 7.1152e+13 322466
## - longitude:housingMedianAge 1 1.5164e+12 7.1214e+13 322479
## - latitude:medianIncome 1 1.8985e+12 7.1596e+13 322556
##
## Step: AIC=322155.3
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms
##
## Df Sum of Sq RSS AIC
## + longitude:sdbedrooms 1 4.4814e+11 6.9169e+13 322064
## + housingMedianAge:population 1 1.4010e+10 6.9603e+13 322154
## + longitude:population 1 1.0866e+10 6.9607e+13 322155
## <none> 6.9617e+13 322155
## + latitude:population 1 6.2873e+09 6.9611e+13 322156
## + longitude:latitude 1 3.6975e+09 6.9614e+13 322157
## - longitude:sdrooms 1 8.0222e+10 6.9698e+13 322170
## - housingMedianAge:medianIncome 1 1.1081e+11 6.9728e+13 322176
## - housingMedianAge:sdrooms 1 1.2345e+11 6.9741e+13 322179
## - sdrooms:sdbedrooms 1 1.2963e+11 6.9747e+13 322180
## - sdbedrooms:medianIncome 1 2.1298e+11 6.9830e+13 322197
## - sdrooms:medianIncome 1 2.8008e+11 6.9898e+13 322211
## - housingMedianAge:sdbedrooms 1 2.8233e+11 6.9900e+13 322212
## - latitude:sdbedrooms 1 3.6321e+11 6.9981e+13 322229
## - sdrooms:population 1 4.7243e+11 7.0090e+13 322251
## - latitude:sdrooms 1 5.8824e+11 7.0206e+13 322275
## - population:medianIncome 1 6.7988e+11 7.0297e+13 322294
## - sdbedrooms:population 1 7.8455e+11 7.0402e+13 322315
## - longitude:medianIncome 1 1.3983e+12 7.1016e+13 322441
## - latitude:housingMedianAge 1 1.4487e+12 7.1066e+13 322451
## - longitude:housingMedianAge 1 1.4974e+12 7.1115e+13 322461
## - latitude:medianIncome 1 1.9785e+12 7.1596e+13 322558
##
## Step: AIC=322064
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms +
## longitude:sdbedrooms
##
## Df Sum of Sq RSS AIC
## + longitude:population 1 1.1911e+10 6.9157e+13 322064
## <none> 6.9169e+13 322064
## + housingMedianAge:population 1 6.4888e+09 6.9163e+13 322065
## + latitude:population 1 4.2608e+09 6.9165e+13 322065
## + longitude:latitude 1 2.8527e+09 6.9166e+13 322065
## - housingMedianAge:sdrooms 1 3.9503e+10 6.9209e+13 322070
## - housingMedianAge:medianIncome 1 4.7211e+10 6.9217e+13 322072
## - sdrooms:sdbedrooms 1 5.7353e+10 6.9227e+13 322074
## - housingMedianAge:sdbedrooms 1 1.2051e+11 6.9290e+13 322087
## - sdrooms:medianIncome 1 2.3847e+11 6.9408e+13 322112
## - sdbedrooms:medianIncome 1 2.4975e+11 6.9419e+13 322114
## - sdrooms:population 1 2.7936e+11 6.9449e+13 322120
## - sdbedrooms:population 1 4.2331e+11 6.9593e+13 322150
## - longitude:sdbedrooms 1 4.4814e+11 6.9617e+13 322155
## - longitude:sdrooms 1 5.1305e+11 6.9682e+13 322169
## - population:medianIncome 1 5.2255e+11 6.9692e+13 322171
## - latitude:sdbedrooms 1 7.6719e+11 6.9936e+13 322221
## - latitude:sdrooms 1 1.0289e+12 7.0198e+13 322275
## - latitude:housingMedianAge 1 1.4934e+12 7.0663e+13 322371
## - longitude:housingMedianAge 1 1.5211e+12 7.0690e+13 322376
## - longitude:medianIncome 1 1.8444e+12 7.1014e+13 322442
## - latitude:medianIncome 1 2.4043e+12 7.1574e+13 322556
##
## Step: AIC=322063.5
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms +
## longitude:sdbedrooms + longitude:population
##
## Df Sum of Sq RSS AIC
## + latitude:population 1 1.2311e+10 6.9145e+13 322063
## + housingMedianAge:population 1 9.8044e+09 6.9148e+13 322064
## <none> 6.9157e+13 322064
## - longitude:population 1 1.1911e+10 6.9169e+13 322064
## + longitude:latitude 1 2.4998e+09 6.9155e+13 322065
## - housingMedianAge:sdrooms 1 3.9659e+10 6.9197e+13 322070
## - housingMedianAge:medianIncome 1 4.7358e+10 6.9205e+13 322071
## - sdrooms:sdbedrooms 1 5.7406e+10 6.9215e+13 322074
## - housingMedianAge:sdbedrooms 1 1.2014e+11 6.9278e+13 322087
## - sdrooms:medianIncome 1 2.3508e+11 6.9392e+13 322111
## - sdbedrooms:medianIncome 1 2.4533e+11 6.9403e+13 322113
## - sdrooms:population 1 2.7031e+11 6.9428e+13 322118
## - sdbedrooms:population 1 4.2239e+11 6.9580e+13 322150
## - longitude:sdbedrooms 1 4.4919e+11 6.9607e+13 322155
## - population:medianIncome 1 4.9921e+11 6.9657e+13 322165
## - longitude:sdrooms 1 5.1013e+11 6.9668e+13 322168
## - latitude:sdbedrooms 1 7.6718e+11 6.9925e+13 322221
## - latitude:sdrooms 1 1.0304e+12 7.0188e+13 322275
## - latitude:housingMedianAge 1 1.4829e+12 7.0640e+13 322368
## - longitude:housingMedianAge 1 1.5323e+12 7.0690e+13 322378
## - longitude:medianIncome 1 1.8440e+12 7.1001e+13 322442
## - latitude:medianIncome 1 2.4075e+12 7.1565e+13 322556
##
## Step: AIC=322063
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms +
## longitude:sdbedrooms + longitude:population + latitude:population
##
## Df Sum of Sq RSS AIC
## + housingMedianAge:population 1 1.5291e+10 6.9130e+13 322062
## <none> 6.9145e+13 322063
## - latitude:population 1 1.2311e+10 6.9157e+13 322064
## + longitude:latitude 1 2.4367e+09 6.9143e+13 322064
## - longitude:population 1 1.9961e+10 6.9165e+13 322065
## - housingMedianAge:sdrooms 1 3.9231e+10 6.9184e+13 322069
## - housingMedianAge:medianIncome 1 4.6432e+10 6.9192e+13 322071
## - sdrooms:sdbedrooms 1 4.7304e+10 6.9192e+13 322071
## - housingMedianAge:sdbedrooms 1 1.1819e+11 6.9263e+13 322086
## - sdrooms:population 1 2.0928e+11 6.9354e+13 322105
## - sdrooms:medianIncome 1 2.3540e+11 6.9380e+13 322110
## - sdbedrooms:medianIncome 1 2.4099e+11 6.9386e+13 322111
## - population:medianIncome 1 4.0294e+11 6.9548e+13 322145
## - sdbedrooms:population 1 4.0841e+11 6.9553e+13 322146
## - longitude:sdbedrooms 1 4.5842e+11 6.9604e+13 322156
## - longitude:sdrooms 1 5.1526e+11 6.9660e+13 322168
## - latitude:sdbedrooms 1 7.7893e+11 6.9924e+13 322223
## - latitude:sdrooms 1 1.0388e+12 7.0184e+13 322276
## - latitude:housingMedianAge 1 1.4847e+12 7.0630e+13 322368
## - longitude:housingMedianAge 1 1.5349e+12 7.0680e+13 322378
## - longitude:medianIncome 1 1.8455e+12 7.0991e+13 322442
## - latitude:medianIncome 1 2.4087e+12 7.1554e+13 322556
##
## Step: AIC=322061.8
## medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms +
## longitude:sdbedrooms + longitude:population + latitude:population +
## housingMedianAge:population
##
## Df Sum of Sq RSS AIC
## <none> 6.9130e+13 322062
## - housingMedianAge:population 1 1.5291e+10 6.9145e+13 322063
## + longitude:latitude 1 2.3545e+09 6.9127e+13 322063
## - latitude:population 1 1.7798e+10 6.9148e+13 322064
## - longitude:population 1 2.7823e+10 6.9158e+13 322066
## - housingMedianAge:sdrooms 1 4.2917e+10 6.9173e+13 322069
## - housingMedianAge:medianIncome 1 4.6242e+10 6.9176e+13 322069
## - sdrooms:sdbedrooms 1 4.6673e+10 6.9176e+13 322070
## - housingMedianAge:sdbedrooms 1 1.2234e+11 6.9252e+13 322085
## - sdrooms:population 1 2.2443e+11 6.9354e+13 322107
## - sdrooms:medianIncome 1 2.3518e+11 6.9365e+13 322109
## - sdbedrooms:medianIncome 1 2.3853e+11 6.9368e+13 322110
## - population:medianIncome 1 3.9246e+11 6.9522e+13 322142
## - sdbedrooms:population 1 4.2024e+11 6.9550e+13 322147
## - longitude:sdbedrooms 1 4.5092e+11 6.9581e+13 322154
## - longitude:sdrooms 1 5.0108e+11 6.9631e+13 322164
## - latitude:sdbedrooms 1 7.6554e+11 6.9895e+13 322219
## - latitude:sdrooms 1 1.0089e+12 7.0139e+13 322269
## - latitude:housingMedianAge 1 1.4943e+12 7.0624e+13 322369
## - longitude:housingMedianAge 1 1.5411e+12 7.0671e+13 322378
## - longitude:medianIncome 1 1.8396e+12 7.0969e+13 322439
## - latitude:medianIncome 1 2.4001e+12 7.1530e+13 322553##
## Call:
## lm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population +
## sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome +
## sdrooms:population + latitude:medianIncome + longitude:medianIncome +
## latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms +
## housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge +
## latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms +
## longitude:sdbedrooms + longitude:population + latitude:population +
## housingMedianAge:population, data = cahousing_train)
##
## Coefficients:
## (Intercept) longitude
## 2.636e+06 3.233e+04
## latitude housingMedianAge
## 3.560e+04 -1.098e+05
## sdrooms sdbedrooms
## 5.424e+05 -2.723e+06
## population medianIncome
## -2.313e+02 -9.768e+05
## sdbedrooms:population sdrooms:medianIncome
## 4.556e+01 -1.343e+03
## housingMedianAge:medianIncome population:medianIncome
## 1.188e+02 4.177e+00
## sdrooms:population latitude:medianIncome
## -4.469e+00 -1.442e+04
## longitude:medianIncome latitude:sdrooms
## -1.275e+04 8.569e+03
## latitude:sdbedrooms housingMedianAge:sdrooms
## -4.102e+04 -1.682e+02
## housingMedianAge:sdbedrooms sdbedrooms:medianIncome
## 1.521e+03 9.123e+03
## longitude:housingMedianAge latitude:housingMedianAge
## -1.295e+03 -1.271e+03
## sdrooms:sdbedrooms longitude:sdrooms
## -1.250e+02 7.085e+03
## longitude:sdbedrooms longitude:population
## -3.492e+04 -2.074e+00
## latitude:population housingMedianAge:population
## -1.588e+00 -9.001e-02## n= 14447
##
## node), split, n, deviance, yval
## * denotes terminal node
##
## 1) root 14447 1.908485e+14 205839.20
## 2) medianIncome< 5.09635 11543 9.704194e+13 173883.80
## 4) medianIncome< 3.1261 5730 3.243587e+13 136971.60
## 8) sdrooms>=4.307329 3402 1.422688e+13 119369.20
## 16) medianIncome< 2.4143 1611 4.877318e+12 98282.99
## 32) latitude>=34.465 1122 2.212724e+12 88601.69
## 64) longitude>=-119.885 314 1.392629e+11 66567.52
## 128) sdrooms< 5.681111 262 6.651752e+10 62950.00
## 256) medianIncome< 1.991 151 2.843960e+10 58534.44
## 512) population>=611 132 1.057841e+10 56109.09 *
## 513) population< 611 19 1.169035e+10 75384.21 *
## 257) medianIncome>=1.991 111 3.112883e+10 68956.76
## 514) housingMedianAge>=20.5 84 1.837178e+10 65858.33 *
## 515) housingMedianAge< 20.5 27 9.441770e+09 78596.30
## 1030) sdbedrooms< 1.093146 15 3.853576e+09 70140.00 *
## 1031) sdbedrooms>=1.093146 12 3.174767e+09 89166.67 *
## 129) sdrooms>=5.681111 52 5.204169e+10 84794.23
## 258) longitude>=-117.805 10 3.659724e+09 59360.00 *
## 259) longitude< -117.805 42 4.037272e+10 90850.00
## 518) sdbedrooms< 1.458853 32 2.483101e+10 83834.38
## 1036) longitude< -119.425 12 3.182397e+09 71283.33 *
## 1037) longitude>=-119.425 20 1.862407e+10 91365.00
## 2074) medianIncome< 2.2327 9 7.497742e+09 76244.44 *
## 2075) medianIncome>=2.2327 11 7.385085e+09 103736.40 *
## 519) sdbedrooms>=1.458853 10 8.926680e+09 113300.00 *
## 65) longitude< -119.885 808 1.861769e+12 97164.48
## 130) latitude>=38.915 336 2.572412e+11 80255.35
## 260) longitude< -121.45 278 1.615278e+11 76678.77
## 520) housingMedianAge>=24.5 124 4.916549e+10 69649.19
## 1040) housingMedianAge< 51.5 113 2.570374e+10 66915.04
## 2080) longitude>=-122.67 87 1.458405e+10 63357.47
## 4160) medianIncome< 1.8086 42 4.119931e+09 58278.57 *
## 4161) medianIncome>=1.8086 45 8.369550e+09 68097.78 *
## 2081) longitude< -122.67 26 6.334140e+09 78819.23 *
## 1041) housingMedianAge>=51.5 11 1.393923e+10 97736.36 *
## 521) housingMedianAge< 24.5 154 1.013011e+11 82338.95
## 1042) sdbedrooms>=0.9658755 147 8.513866e+10 80880.27
## 2084) medianIncome< 2.28405 120 5.275297e+10 77374.99
## 4168) sdrooms>=4.5089 110 3.973380e+10 75496.35
## 8336) population< 230.5 7 3.154850e+09 51457.00 *
## 8337) population>=230.5 103 3.225880e+10 77130.10
## 16674) sdrooms< 5.533136 63 1.714289e+10 72990.48 *
## 16675) sdrooms>=5.533136 40 1.233594e+10 83650.00
## 33350) latitude>=40.71 15 1.300777e+09 74853.33 *
## 33351) latitude< 40.71 25 9.178010e+09 88928.00
## 66702) latitude< 39.535 12 2.538397e+09 79216.67 *
## 66703) latitude>=39.535 13 4.463229e+09 97892.31 *
## 4169) sdrooms< 4.5089 10 8.360524e+09 98040.00 *
## 2085) medianIncome>=2.28405 27 2.435823e+10 96459.26
## 4170) longitude>=-122.66 17 8.794418e+09 86211.76 *
## 4171) longitude< -122.66 10 1.074380e+10 113880.00 *
## 1043) sdbedrooms< 0.9658755 7 9.281214e+09 112971.40 *
## 261) longitude>=-121.45 58 7.511219e+10 97398.28
## 522) latitude>=39.345 32 1.478473e+10 74734.38
## 1044) housingMedianAge>=18.5 18 4.254305e+09 61583.33 *
## 1045) housingMedianAge< 18.5 14 3.414774e+09 91642.86 *
## 523) latitude< 39.345 26 2.366058e+10 125292.30
## 1046) housingMedianAge>=23 15 5.344544e+09 110780.00 *
## 1047) housingMedianAge< 23 11 1.084906e+10 145081.80 *
## 131) latitude< 38.915 472 1.440072e+12 109201.50
## 262) population>=147 449 8.386077e+11 104998.90
## 524) longitude>=-121.565 277 3.830934e+11 93367.15
## 1048) latitude>=35.705 259 2.617260e+11 89408.11
## 2096) housingMedianAge>=17.5 214 1.993681e+11 85027.57
## 4192) medianIncome< 2.10045 126 8.243570e+10 76861.90
## 8384) population>=271 118 6.512123e+10 74297.46
## 16768) medianIncome< 1.575 26 1.506750e+09 58103.85 *
## 16769) medianIncome>=1.575 92 5.486958e+10 78873.91
## 33538) population>=979 50 2.336750e+10 73120.00
## 67076) latitude< 36.985 7 4.597171e+08 54642.86 *
## 67077) latitude>=36.985 43 2.012891e+10 76127.91
## 134154) housingMedianAge>=33.5 24 2.697140e+09 68979.17 *
## 134155) housingMedianAge< 33.5 19 1.465599e+10 85157.89 *
## 33539) population< 979 42 2.787602e+10 85723.81
## 67078) latitude< 38.545 32 1.258669e+10 78918.75
## 134156) longitude>=-120.38 7 5.166143e+08 64228.57 *
## 134157) longitude< -120.38 25 1.013649e+10 83032.00
## 268314) latitude>=37.85 16 2.849750e+09 75425.00 *
## 268315) latitude< 37.85 9 4.714902e+09 96555.56 *
## 67079) latitude>=38.545 10 9.065420e+09 107500.00 *
## 8385) population< 271 8 5.092249e+09 114687.50 *
## 4193) medianIncome>=2.10045 88 9.650168e+10 96719.32
## 8386) population>=439.5 80 5.983529e+10 93241.25
## 16772) sdbedrooms< 1.115556 63 4.260103e+10 88123.81
## 33544) latitude< 38.55 48 3.108154e+10 83268.75
## 67088) population>=997 32 6.234039e+09 76156.25 *
## 67089) population< 997 16 1.999109e+10 97493.75 *
## 33545) latitude>=38.55 15 6.767456e+09 103660.00 *
## 16773) sdbedrooms>=1.115556 17 9.470229e+09 112205.90 *
## 8387) population< 439.5 8 2.602106e+10 131500.00 *
## 2097) housingMedianAge< 17.5 45 3.872287e+10 110240.00
## 4194) longitude>=-120.745 18 8.812751e+09 90922.22 *
## 4195) longitude< -120.745 27 1.871482e+10 123118.50
## 8390) population>=1982.5 9 4.166769e+09 107788.90 *
## 8391) population< 1982.5 18 1.137559e+10 130783.30 *
## 1049) latitude< 35.705 18 5.889520e+10 150333.30 *
## 525) longitude< -121.565 172 3.576810e+11 123731.40
## 1050) latitude>=37.725 157 2.452096e+11 117321.70
## 2100) longitude>=-122.375 130 1.389854e+11 111169.20
## 4200) sdbedrooms>=0.9734831 122 9.099988e+10 108204.90
## 8400) housingMedianAge>=22.5 115 6.607808e+10 105483.50
## 16800) sdbedrooms>=1.247755 16 1.219518e+09 84037.50 *
## 16801) sdbedrooms< 1.247755 99 5.631037e+10 108949.50
## 33602) latitude< 37.775 25 1.018929e+10 94004.00 *
## 33603) latitude>=37.775 74 3.865033e+10 113998.60
## 67206) latitude>=37.885 30 1.073325e+10 102166.70
## 134412) sdbedrooms>=1.120303 10 1.056776e+09 86120.00 *
## 134413) sdbedrooms< 1.120303 20 5.814038e+09 110190.00 *
## 67207) latitude< 37.885 44 2.085366e+10 122065.90
## 134414) latitude< 37.845 33 9.332361e+09 114757.60
## 268828) medianIncome< 1.6148 9 2.374389e+09 99011.11 *
## 268829) medianIncome>=1.6148 24 3.889576e+09 120662.50 *
## 134415) latitude>=37.845 11 4.470949e+09 143990.90 *
## 8401) housingMedianAge< 22.5 7 1.007759e+10 152914.30 *
## 4201) sdbedrooms< 0.9734831 8 3.056498e+10 156375.00 *
## 2101) longitude< -122.375 27 7.761067e+10 146944.40
## 4202) longitude< -122.47 19 2.861876e+10 122873.70 *
## 4203) longitude>=-122.47 8 1.183779e+10 204112.50 *
## 1051) latitude< 37.725 15 3.850784e+10 190820.00 *
## 263) population< 147 23 4.387230e+11 191243.50
## 526) sdbedrooms< 1.328431 15 1.569898e+11 145540.00 *
## 527) sdbedrooms>=1.328431 8 1.916532e+11 276937.60 *
## 33) latitude< 34.465 489 2.318138e+12 120496.50
## 66) longitude>=-117.355 259 5.525841e+11 98090.73
## 132) medianIncome< 2.22045 198 2.518215e+11 89886.87
## 264) longitude>=-116.585 60 6.701594e+10 73640.00
## 528) sdrooms< 5.911765 39 8.975097e+09 64317.95 *
## 529) sdrooms>=5.911765 21 4.835763e+10 90952.38
## 1058) longitude< -115.785 14 1.079023e+10 80007.14 *
## 1059) longitude>=-115.785 7 3.253588e+10 112842.90 *
## 265) longitude< -116.585 138 1.620820e+11 96950.72
## 530) latitude>=34.055 52 1.717031e+10 79353.85
## 1060) latitude< 34.155 42 5.768851e+09 74414.29 *
## 1061) latitude>=34.155 10 6.072660e+09 100100.00 *
## 531) latitude< 34.055 86 1.190739e+11 107590.70
## 1062) population>=1037.5 59 3.915691e+10 98908.47
## 2124) longitude>=-116.995 19 5.095646e+09 85642.11 *
## 2125) longitude< -116.995 40 2.912896e+10 105210.00
## 4250) latitude< 32.715 13 2.186463e+09 90523.08 *
## 4251) latitude>=32.715 27 2.278816e+10 112281.50
## 8502) latitude>=32.965 20 1.609101e+10 106635.00
## 17004) latitude< 33.795 13 4.835257e+09 95884.62 *
## 17005) latitude>=33.795 7 6.963120e+09 126600.00 *
## 8503) latitude< 32.965 7 4.237629e+09 128414.30 *
## 1063) population< 1037.5 27 6.575094e+10 126563.00
## 2126) latitude< 32.715 8 2.681609e+09 86787.50 *
## 2127) latitude>=32.715 19 4.508350e+10 143310.50 *
## 133) medianIncome>=2.22045 61 2.441814e+11 124719.70
## 266) latitude>=33.695 23 1.827209e+10 95195.65
## 532) sdrooms< 5.06776 8 6.535988e+08 76137.50 *
## 533) sdrooms>=5.06776 15 1.316308e+10 105360.00 *
## 267) latitude< 33.695 38 1.937264e+11 142589.50
## 534) housingMedianAge< 30 27 4.649297e+10 123855.60
## 1068) longitude>=-116.46 7 4.500137e+09 81357.14 *
## 1069) longitude< -116.46 20 2.492504e+10 138730.00
## 2138) housingMedianAge< 19 12 7.315389e+09 124541.70 *
## 2139) housingMedianAge>=19 8 1.157039e+10 160012.50 *
## 535) housingMedianAge>=30 11 1.144985e+11 188572.70 *
## 67) longitude< -117.355 230 1.489114e+12 145727.40
## 134) population>=146 221 9.953501e+11 137691.40
## 268) latitude>=33.605 213 4.830228e+11 131281.70
## 536) longitude>=-118.38 202 3.438661e+11 126265.80
## 1072) latitude>=33.875 183 2.045712e+11 120913.70
## 2144) latitude< 34.025 125 5.620600e+10 111529.60
## 4288) medianIncome< 1.87665 59 1.099855e+10 103608.50
## 8576) longitude>=-118.285 39 5.913614e+09 99025.64 *
## 8577) longitude< -118.285 20 2.668610e+09 112545.00 *
## 4289) medianIncome>=1.87665 66 3.819626e+10 118610.60
## 8578) longitude>=-118.315 56 2.558394e+10 115132.10
## 17156) medianIncome< 2.0904 29 8.517487e+09 106989.70 *
## 17157) medianIncome>=2.0904 27 1.307863e+10 123877.80
## 34314) sdbedrooms< 1.143507 20 6.587266e+09 119185.00
## 68628) longitude< -118.21 12 2.138149e+09 109991.70 *
## 68629) longitude>=-118.21 8 1.913595e+09 132975.00 *
## 34315) sdbedrooms>=1.143507 7 4.792509e+09 137285.70 *
## 8579) longitude< -118.315 10 8.140269e+09 138090.00 *
## 2145) latitude>=34.025 58 1.136344e+11 141137.90
## 4290) longitude>=-117.835 21 1.496705e+10 110619.00
## 8580) medianIncome>=1.94095 13 1.666129e+09 101607.70 *
## 8581) medianIncome< 1.94095 8 1.052982e+10 125262.50 *
## 4291) longitude< -117.835 37 6.800657e+10 158459.50
## 8582) longitude< -118.135 30 5.453857e+10 152190.00
## 17164) housingMedianAge< 46.5 23 1.577464e+10 144852.20 *
## 17165) housingMedianAge>=46.5 7 3.345648e+10 176300.00 *
## 8583) longitude>=-118.135 7 7.235174e+09 185328.60 *
## 1073) latitude< 33.875 19 8.356221e+10 177815.80 *
## 537) longitude< -118.38 11 4.074947e+10 223390.90 *
## 269) latitude< 33.605 8 2.705808e+11 308350.20 *
## 135) population< 146 9 1.290456e+11 343055.80 *
## 17) medianIncome>=2.4143 1791 7.988960e+12 138336.20
## 34) latitude>=34.455 1123 3.781534e+12 124423.40
## 68) longitude>=-121.695 700 1.185484e+12 107020.60
## 136) longitude>=-120.09 254 1.808192e+11 85758.27
## 272) latitude< 37.045 227 1.085709e+11 81218.50
## 544) latitude>=34.785 207 7.647880e+10 78394.69
## 1088) sdrooms< 5.556559 137 2.005496e+10 74671.53
## 2176) longitude< -118.935 122 1.411859e+10 73161.48 *
## 2177) longitude>=-118.935 15 3.395537e+09 86953.33 *
## 1089) sdrooms>=5.556559 70 5.080801e+10 85681.43
## 2178) longitude>=-118.405 8 3.730599e+09 63362.50 *
## 2179) longitude< -118.405 62 4.257813e+10 88561.29
## 4358) sdrooms< 6.475843 54 2.720031e+10 84437.04
## 8716) latitude< 36.325 26 7.474890e+09 74203.85 *
## 8717) latitude>=36.325 28 1.447455e+10 93939.29
## 17434) longitude< -119.68 13 9.224908e+08 82138.46 *
## 17435) longitude>=-119.68 15 1.017269e+10 104166.70 *
## 4359) sdrooms>=6.475843 8 8.259360e+09 116400.00 *
## 545) latitude< 34.785 20 1.335775e+10 110445.00
## 1090) population>=1557 9 1.076760e+09 97100.00 *
## 1091) population< 1557 11 9.366805e+09 121363.60 *
## 273) latitude>=37.045 27 2.823709e+10 123925.90
## 546) sdbedrooms< 1.929839 17 2.687978e+09 107311.80 *
## 547) sdbedrooms>=1.929839 10 1.287932e+10 152170.00 *
## 137) longitude< -120.09 446 8.244387e+11 119129.60
## 274) latitude>=35.54 406 5.626866e+11 113504.20
## 548) latitude>=39.325 38 1.568574e+10 83305.26
## 1096) latitude>=40.14 12 1.648377e+09 64516.67 *
## 1097) latitude< 40.14 26 7.846086e+09 91976.92
## 2194) latitude< 39.565 10 2.045280e+09 78600.00 *
## 2195) latitude>=39.565 16 2.892998e+09 100337.50 *
## 549) latitude< 39.325 368 5.087673e+11 116622.60
## 1098) population>=265 349 4.260583e+11 114192.00
## 2196) sdrooms< 5.59617 242 2.790305e+11 109025.20
## 4392) longitude>=-120.645 31 2.445195e+10 88280.65
## 8784) latitude< 37.815 23 1.278682e+10 79478.26
## 17568) housingMedianAge>=24 11 1.675985e+09 69063.64 *
## 17569) housingMedianAge< 24 12 8.824042e+09 89025.00 *
## 8785) latitude>=37.815 8 4.759549e+09 113587.50 *
## 4393) longitude< -120.645 211 2.392781e+11 112073.00
## 8786) latitude>=37.185 191 1.802333e+11 108497.90
## 17572) latitude< 38.545 99 5.792887e+10 100394.90
## 35144) medianIncome< 2.98325 81 4.241638e+10 96792.59
## 70288) housingMedianAge>=36.5 24 1.329629e+10 86587.50
## 140576) latitude>=37.905 16 5.676738e+09 79037.50 *
## 140577) latitude< 37.905 8 4.883429e+09 101687.50 *
## 70289) housingMedianAge< 36.5 57 2.556823e+10 101089.50
## 140578) latitude< 37.665 16 3.022079e+09 91843.75 *
## 140579) latitude>=37.665 41 2.064467e+10 104697.60
## 281158) longitude< -121.275 22 6.814753e+09 95240.91 *
## 281159) longitude>=-121.275 19 9.584427e+09 115647.40 *
## 35145) medianIncome>=2.98325 18 9.731249e+09 116605.60 *
## 17573) latitude>=38.545 92 1.088096e+11 117217.40
## 35146) longitude< -121.52 11 1.706565e+09 79536.36 *
## 35147) longitude>=-121.52 81 8.936354e+10 122334.60
## 70294) longitude< -121.19 62 5.243399e+10 116501.60
## 140588) latitude>=38.685 12 3.137869e+09 95208.33 *
## 140589) latitude< 38.685 50 4.254947e+10 121612.00
## 281178) medianIncome< 2.5776 9 4.865802e+09 99355.56 *
## 281179) medianIncome>=2.5776 41 3.224691e+10 126497.60
## 562358) sdbedrooms< 1.10734 34 1.589778e+10 121223.50
## 1124716) medianIncome< 3.0182 27 1.253702e+10 117663.00
## 2249432) sdrooms>=5.202427 8 3.363600e+08 101700.00 *
## 2249433) sdrooms< 5.202427 19 9.303805e+09 124384.20 *
## 1124717) medianIncome>=3.0182 7 1.698177e+09 134957.10 *
## 562359) sdbedrooms>=1.10734 7 1.080989e+10 152114.30 *
## 70295) longitude>=-121.19 19 2.793664e+10 141368.40 *
## 8787) latitude< 37.185 20 3.329005e+10 146215.00
## 17574) longitude>=-121.36 9 5.651076e+09 118622.20 *
## 17575) longitude< -121.36 11 1.518033e+10 168790.90 *
## 2197) sdrooms>=5.59617 107 1.259563e+11 125877.60
## 4394) housingMedianAge>=11.5 98 1.038916e+11 123558.20
## 8788) sdbedrooms>=1.108272 58 4.419029e+10 118163.80
## 17576) latitude< 38.59 39 1.982719e+10 110784.60
## 35152) housingMedianAge>=28.5 10 4.592561e+09 93870.00 *
## 35153) housingMedianAge< 28.5 29 1.138702e+10 116617.20 *
## 17577) latitude>=38.59 19 1.788042e+10 133310.50 *
## 8789) sdbedrooms< 1.108272 40 5.556628e+10 131380.00
## 17578) population>=680.5 28 2.862046e+10 120535.70
## 35156) population< 985 16 1.181757e+10 105031.20 *
## 35157) population>=985 12 7.828389e+09 141208.30 *
## 17579) population< 680.5 12 1.596996e+10 156683.30 *
## 4395) housingMedianAge< 11.5 9 1.579684e+10 151133.30 *
## 1099) population< 265 19 4.277548e+10 161268.40 *
## 275) latitude< 35.54 40 1.184972e+11 176227.50
## 550) latitude< 35.125 24 5.222018e+10 147841.70
## 1100) population>=1150.5 17 2.855282e+10 133164.70 *
## 1101) population< 1150.5 7 1.111185e+10 183485.70 *
## 551) latitude>=35.125 16 1.793173e+10 218806.20 *
## 69) longitude< -121.695 423 2.033219e+12 153222.50
## 138) latitude>=38.865 121 6.474721e+10 95341.32
## 276) medianIncome< 2.57995 36 9.436936e+09 83080.56
## 552) population>=648 28 4.196901e+09 79182.14 *
## 553) population< 648 8 3.325135e+09 96725.00 *
## 277) medianIncome>=2.57995 85 4.760649e+10 100534.10
## 554) sdbedrooms>=1.295829 9 2.826422e+09 73455.56 *
## 555) sdbedrooms< 1.295829 76 3.739934e+10 103740.80
## 1110) housingMedianAge>=33.5 16 3.707314e+09 90968.75 *
## 1111) housingMedianAge< 33.5 60 3.038603e+10 107146.70
## 2222) longitude>=-123.155 33 9.990329e+09 100081.80 *
## 2223) longitude< -123.155 27 1.673548e+10 115781.50
## 4446) latitude>=40.01 18 8.671518e+09 105411.10 *
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## 2712) housingMedianAge>=15.5 38 2.182884e+10 147905.30
## 5424) medianIncome< 4.5057 27 8.982510e+09 137903.70 *
## 5425) medianIncome>=4.5057 11 3.516147e+09 172454.50 *
## 2713) housingMedianAge< 15.5 12 1.033487e+10 196441.70 *
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## 1358) sdrooms< 5.96985 78 3.161208e+11 212396.20
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## 21728) housingMedianAge>=25 10 1.808948e+10 153480.00 *
## 21729) housingMedianAge< 25 26 2.111486e+10 188338.50
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## 43459) latitude>=36.82 8 3.351000e+09 208100.00 *
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## 2717) population< 663 7 6.301298e+10 312942.90 *
## 1359) sdrooms>=5.96985 44 1.835882e+11 268381.80
## 2718) sdbedrooms>=1.257226 7 4.528485e+10 222585.70 *
## 2719) sdbedrooms< 1.257226 37 1.208449e+11 277046.00
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## 680) latitude>=33.625 336 5.759381e+11 138075.90
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## 2720) sdrooms< 7.006392 201 1.221353e+11 123253.70
## 5440) medianIncome< 4.1624 135 5.712132e+10 115688.10
## 10880) longitude>=-116.34 7 1.194040e+09 82700.00 *
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## 21762) latitude>=34.055 70 1.724997e+10 109358.60
## 43524) housingMedianAge>=28.5 27 3.912387e+09 100755.60 *
## 43525) housingMedianAge< 28.5 43 1.008450e+10 114760.50
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## 174106) population>=1618.5 8 6.649200e+08 115900.00 *
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## 43531) sdrooms< 5.728397 7 3.341494e+09 158671.40 *
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## 174406) sdrooms< 5.748766 43 1.397625e+10 159544.20 *
## 174407) sdrooms>=5.748766 34 1.876446e+10 176614.70
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## 348815) sdbedrooms>=1.024369 21 1.542749e+10 182904.80 *
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## 10901) medianIncome>=4.5956 42 8.427171e+10 192802.40
## 21802) sdbedrooms< 1.069086 35 4.471133e+10 182882.90
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## 87210) population< 1376 12 5.307669e+09 183008.30 *
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## 10902) sdrooms< 5.992201 41 5.818778e+10 188953.70
## 21804) sdrooms< 5.35841 10 5.828089e+09 161510.00 *
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## 10904) sdrooms< 5.910698 40 6.482702e+10 177600.00
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## 21810) medianIncome< 3.9746 7 6.059814e+09 181828.60 *
## 21811) medianIncome>=3.9746 25 3.920390e+10 229748.00
## 43622) housingMedianAge< 19.5 18 1.852598e+10 219211.10 *
## 43623) housingMedianAge>=19.5 7 1.354054e+10 256842.90 *
## 5453) sdbedrooms>=1.152157 8 6.204163e+10 303375.10 *
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## 21818) sdrooms>=5.069518 25 6.512928e+10 217744.00
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## 43637) medianIncome>=3.7902 17 3.987835e+10 232323.50 *
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## 10910) latitude>=32.97 16 1.037950e+11 302743.80 *
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## 682) latitude>=33.695 948 2.691924e+12 198155.70
## 1364) medianIncome< 4.5264 730 1.640468e+12 189985.30
## 2728) longitude>=-117.745 29 1.717951e+10 138003.40
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## 5457) sdrooms>=5.686097 7 4.422257e+09 155457.10 *
## 2729) longitude< -117.745 701 1.541685e+12 192135.80
## 5458) longitude>=-118.105 545 8.510654e+11 187103.50
## 10916) sdrooms< 5.141741 335 3.729337e+11 177921.50
## 21832) sdrooms< 3.852883 25 2.228546e+10 149920.00
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## 43666) latitude>=33.885 162 1.419112e+11 171619.80
## 87332) longitude>=-117.84 9 5.926049e+09 135611.10 *
## 87333) longitude< -117.84 153 1.236291e+11 173737.90
## 174666) sdbedrooms< 1.076425 125 8.253709e+10 170019.20
## 349332) longitude>=-117.985 53 2.289611e+10 162720.80
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## 1397328) population>=1277 38 8.806429e+09 154676.30 *
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## 349333) longitude< -117.985 72 5.473965e+10 175391.70
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## 1397333) latitude>=33.915 47 1.677466e+10 171891.50
## 2794666) sdrooms< 4.848966 25 7.216330e+09 165428.00 *
## 2794667) sdrooms>=4.848966 22 7.327071e+09 179236.40
## 5589334) longitude< -118.065 14 1.489824e+09 171121.40 *
## 5589335) longitude>=-118.065 8 3.301939e+09 193437.50 *
## 698667) latitude>=34.085 16 2.131850e+10 198818.80 *
## 174667) sdbedrooms>=1.076425 28 3.164643e+10 190339.30
## 349334) population< 1200.5 7 3.082409e+09 164114.30 *
## 349335) population>=1200.5 21 2.214501e+10 199081.00
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## 698671) medianIncome>=3.652 9 9.648462e+09 216644.40 *
## 43667) latitude< 33.885 148 1.626911e+11 189549.30
## 87334) sdbedrooms< 1.126755 137 1.299404e+11 187005.80
## 174668) sdrooms< 4.550312 71 5.956183e+10 178659.20
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## 698672) population< 1744.5 11 4.018049e+09 150809.10 *
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## 349337) latitude>=33.755 49 3.494574e+10 183959.20
## 698674) housingMedianAge< 25.5 26 1.725970e+10 174457.70
## 1397348) longitude>=-117.955 12 5.435302e+09 163625.00 *
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## 698675) housingMedianAge>=25.5 23 1.268540e+10 194700.00
## 1397350) population< 1561 12 4.951869e+09 184058.30 *
## 1397351) population>=1561 11 4.892109e+09 206309.10 *
## 174669) sdrooms>=4.550312 66 6.011108e+10 195984.80
## 349338) housingMedianAge>=25.5 40 1.485843e+10 188967.50 *
## 349339) housingMedianAge< 25.5 26 4.025258e+10 206780.80
## 698678) population>=1384.5 14 8.736380e+09 193400.00 *
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## 87335) sdbedrooms>=1.126755 11 2.082598e+10 221227.30 *
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## 21834) housingMedianAge>=27.5 158 2.059067e+11 194534.20
## 43668) latitude< 34.125 150 1.373212e+11 192390.00
## 87336) latitude>=33.905 93 7.935961e+10 184896.80
## 174672) housingMedianAge>=32.5 78 4.830301e+10 179452.60
## 349344) latitude< 34.065 55 1.550011e+10 173040.00
## 698688) latitude>=34.005 20 3.159262e+09 162130.00 *
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## 1397378) longitude< -117.995 28 3.971977e+09 174671.40 *
## 1397379) longitude>=-117.995 7 1.661909e+09 197685.70 *
## 349345) latitude>=34.065 23 2.513295e+10 194787.00
## 698690) longitude>=-117.97 16 6.630689e+09 182106.20 *
## 698691) longitude< -117.97 7 1.004875e+10 223771.40 *
## 174673) housingMedianAge< 32.5 15 1.672297e+10 213206.70 *
## 87337) latitude< 33.905 57 4.422002e+10 204615.80
## 174674) sdrooms< 6.100967 42 2.131922e+10 197883.30
## 349348) sdbedrooms>=0.9818716 33 1.096952e+10 191312.10
## 698696) longitude>=-117.915 7 1.113349e+09 171514.30 *
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## 349349) sdbedrooms< 0.9818716 9 3.699856e+09 221977.80 *
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## 43669) latitude>=34.125 8 5.496544e+10 234737.50 *
## 21835) housingMedianAge< 27.5 52 1.656941e+11 223678.80
## 43670) sdrooms< 5.610243 38 6.693970e+10 208610.50
## 87340) sdrooms< 5.291996 13 1.181353e+10 183792.30 *
## 87341) sdrooms>=5.291996 25 4.295511e+10 221516.00
## 174682) sdrooms>=5.381578 15 1.821931e+10 203026.70 *
## 174683) sdrooms< 5.381578 10 1.191622e+10 249250.00 *
## 43671) sdrooms>=5.610243 14 6.670734e+10 264578.60 *
## 5459) longitude< -118.105 156 6.286005e+11 209716.70
## 10918) latitude>=33.795 147 4.148168e+11 203321.80
## 21836) latitude< 33.935 83 1.609551e+11 186808.40
## 43672) longitude< -118.195 26 2.571281e+10 149123.10
## 87344) latitude>=33.875 9 1.313562e+09 119344.40 *
## 87345) latitude< 33.875 17 1.219316e+10 164888.20 *
## 43673) longitude>=-118.195 57 8.147457e+10 203998.20
## 87346) latitude>=33.865 34 4.008487e+10 189126.50
## 174692) sdrooms< 4.24784 7 4.253697e+09 151057.10 *
## 174693) sdrooms>=4.24784 27 2.305609e+10 198996.30
## 349386) medianIncome>=3.6111 19 1.230828e+10 189363.20 *
## 349387) medianIncome< 3.6111 8 4.797175e+09 221875.00 *
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## 1606) sdrooms>=6.764834 46 6.661424e+10 296721.70
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## 3213) sdrooms>=6.968251 31 4.080780e+10 305093.50
## 6426) medianIncome< 6.9622 24 3.074304e+10 298137.50
## 12852) medianIncome>=6.3978 17 1.278320e+10 287500.00 *
## 12853) medianIncome< 6.3978 7 1.136443e+10 323971.40 *
## 6427) medianIncome>=6.9622 7 4.921957e+09 328942.90 *
## 1607) sdrooms< 6.764834 29 1.142434e+11 329489.70
## 3214) housingMedianAge< 9.5 10 1.653714e+10 297620.00 *
## 3215) housingMedianAge>=9.5 19 8.220384e+10 346263.30 *
## 201) longitude< -121.645 45 1.411948e+11 316755.60
## 402) latitude>=37.94 12 2.868642e+10 271583.30 *
## 403) latitude< 37.94 33 7.911786e+10 333181.80
## 806) housingMedianAge>=11 25 3.029791e+10 321916.00
## 1612) longitude>=-121.865 8 6.717539e+09 296862.50 *
## 1613) longitude< -121.865 17 1.619593e+10 333705.90 *
## 807) housingMedianAge< 11 8 3.573139e+10 368387.60 *
## 101) housingMedianAge>=17.5 134 6.037448e+11 327040.40
## 202) longitude>=-122.025 113 4.908515e+11 319335.50
## 404) sdrooms>=6.584945 83 2.418670e+11 308954.20
## 808) population< 934.5 21 3.801143e+10 283733.30
## 1616) medianIncome< 6.51235 8 1.841022e+10 261437.50 *
## 1617) medianIncome>=6.51235 13 1.317709e+10 297453.80 *
## 809) population>=934.5 62 1.859731e+11 317496.80
## 1618) latitude>=37.225 13 1.573073e+10 286761.50 *
## 1619) latitude< 37.225 49 1.547037e+11 325651.10
## 3238) latitude< 33.94 33 6.959452e+10 309254.50
## 6476) housingMedianAge>=19.5 26 2.484901e+10 301215.40
## 12952) longitude>=-117.955 15 1.179343e+10 289273.30 *
## 12953) longitude< -117.955 11 7.999320e+09 317500.00 *
## 6477) housingMedianAge< 19.5 7 3.682395e+10 339114.30 *
## 3239) latitude>=33.94 16 5.793896e+10 359468.90 *
## 405) sdrooms< 6.584945 30 2.152922e+11 348056.80
## 810) sdbedrooms< 0.9845232 10 2.132115e+10 286290.00 *
## 811) sdbedrooms>=0.9845232 20 1.367440e+11 378940.20
## 1622) longitude< -121.805 7 1.507504e+10 314657.10 *
## 1623) longitude>=-121.805 13 7.716718e+10 413554.20 *
## 203) longitude< -122.025 21 7.008787e+10 368500.10
## 406) latitude>=37.6 14 2.239299e+10 344971.40 *
## 407) latitude< 37.6 7 2.444375e+10 415557.40 *
## 51) sdbedrooms>=1.13453 31 2.348257e+11 371887.30
## 102) housingMedianAge< 11 17 6.851842e+10 321029.40 *
## 103) housingMedianAge>=11 14 6.894315e+10 433643.30 *
## 13) housingMedianAge>=27.5 814 8.047627e+12 334308.20
## 26) medianIncome< 5.83665 474 4.391998e+12 304186.10
## 52) housingMedianAge< 36.5 296 2.515015e+12 284897.70
## 104) sdbedrooms< 1.08011 253 1.652926e+12 271809.90
## 208) longitude>=-118.035 73 3.408388e+11 236504.10
## 416) sdrooms>=5.351636 66 1.929939e+11 229640.90
## 832) sdrooms< 6.34566 50 1.105709e+11 218132.00
## 1664) medianIncome< 5.53615 43 2.618677e+10 210572.10
## 3328) latitude< 33.35 7 3.509294e+09 191628.60 *
## 3329) latitude>=33.35 36 1.967703e+10 214255.60
## 6658) medianIncome< 5.2776 23 6.870592e+09 204934.80 *
## 6659) medianIncome>=5.2776 13 7.273052e+09 230746.20 *
## 1665) medianIncome>=5.53615 7 6.683019e+10 264571.60 *
## 833) sdrooms>=6.34566 16 5.510419e+10 265606.20 *
## 417) sdrooms< 5.351636 7 1.154242e+11 301214.30 *
## 209) longitude< -118.035 180 1.184190e+12 286128.40
## 418) sdbedrooms< 0.9276585 11 3.003849e+10 204763.60 *
## 419) sdbedrooms>=0.9276585 169 1.076589e+12 291424.30
## 838) sdrooms>=5.39862 132 7.602748e+11 281542.40
## 1676) latitude>=37.94 13 3.633062e+10 226076.90 *
## 1677) latitude< 37.94 119 6.795817e+11 287601.70
## 3354) sdrooms< 5.595063 28 1.175672e+11 254992.90
## 6708) sdbedrooms< 0.9913516 10 1.642354e+10 216140.00 *
## 6709) sdbedrooms>=0.9913516 18 7.766187e+10 276577.80 *
## 3355) sdrooms>=5.595063 91 5.230800e+11 297635.20
## 6710) sdbedrooms>=1.048277 18 5.588242e+10 248250.00 *
## 6711) sdbedrooms< 1.048277 73 4.124728e+11 309812.30
## 13422) sdbedrooms< 1.037302 65 3.499261e+11 303753.90
## 26844) sdbedrooms>=0.9560486 58 2.946270e+11 297591.40
## 53688) housingMedianAge>=34.5 31 9.874540e+10 279845.20
## 107376) sdbedrooms>=1.019762 7 1.671107e+10 239885.70 *
## 107377) sdbedrooms< 1.019762 24 6.759698e+10 291500.00
## 214754) sdbedrooms< 0.9933758 10 1.019322e+10 260650.00 *
## 214755) sdbedrooms>=0.9933758 14 4.108851e+10 313535.70 *
## 53689) housingMedianAge< 34.5 27 1.749096e+11 317966.70
## 107378) population>=1334 14 3.619386e+10 290978.60 *
## 107379) population< 1334 13 1.175373e+11 347030.80 *
## 26845) sdbedrooms< 0.9560486 7 3.484639e+10 354814.30 *
## 13423) sdbedrooms>=1.037302 8 4.077590e+10 359037.50 *
## 839) sdrooms< 5.39862 37 2.574384e+11 326678.40
## 1678) sdbedrooms< 1.008865 23 1.150364e+11 300587.00
## 3356) medianIncome< 5.21925 7 1.043896e+10 251142.90 *
## 3357) medianIncome>=5.21925 16 7.999738e+10 322218.80 *
## 1679) sdbedrooms>=1.008865 14 1.010214e+11 369542.90 *
## 105) sdbedrooms>=1.08011 43 5.637735e+11 361902.60
## 210) latitude>=34.19 20 2.173479e+11 304230.20
## 420) housingMedianAge>=34.5 8 3.478508e+10 247237.50 *
## 421) housingMedianAge< 34.5 12 1.392540e+11 342225.20 *
## 211) latitude< 34.19 23 2.220580e+11 412052.50
## 422) medianIncome>=5.3654 13 1.514164e+11 373277.20 *
## 423) medianIncome< 5.3654 10 2.568606e+10 462460.50 *
## 53) housingMedianAge>=36.5 178 1.583728e+12 336261.30
## 106) sdbedrooms< 0.9268041 10 4.554638e+10 234120.00 *
## 107) sdbedrooms>=0.9268041 168 1.427643e+12 342341.20
## 214) longitude>=-118.335 65 5.807897e+11 311798.50
## 428) latitude>=33.7 55 3.513608e+11 290412.70
## 856) latitude< 34.09 24 6.696364e+10 229650.00
## 1712) population< 640 7 2.234328e+10 198057.10 *
## 1713) population>=640 17 3.475670e+10 242658.80 *
## 857) latitude>=34.09 31 1.271847e+11 337454.80
## 1714) medianIncome>=5.41945 15 3.558264e+10 305460.00 *
## 1715) medianIncome< 5.41945 16 6.185170e+10 367450.00 *
## 429) latitude< 33.7 10 6.592530e+10 429420.50 *
## 215) longitude< -118.335 103 7.479533e+11 361615.60
## 430) latitude>=36.555 63 3.923422e+11 334100.00
## 860) longitude>=-122.235 21 8.454936e+10 280623.80
## 1720) medianIncome< 5.26585 7 1.960070e+10 242100.00 *
## 1721) medianIncome>=5.26585 14 4.936578e+10 299885.70 *
## 861) longitude< -122.235 42 2.177121e+11 360838.10
## 1722) medianIncome< 5.1737 7 8.777617e+09 278442.90 *
## 1723) medianIncome>=5.1737 35 1.519070e+11 377317.20
## 3446) population< 730 11 1.022271e+10 339909.10 *
## 3447) population>=730 24 1.192361e+11 394462.60
## 6894) medianIncome< 5.62205 16 7.632458e+10 372893.80 *
## 6895) medianIncome>=5.62205 8 2.058138e+10 437600.10 *
## 431) latitude< 36.555 40 2.327892e+11 404952.70
## 862) latitude< 34.035 22 1.138343e+11 370441.00
## 1724) medianIncome>=5.39255 10 1.215262e+10 328580.00 *
## 1725) medianIncome< 5.39255 12 6.955536e+10 405325.20 *
## 863) latitude>=34.035 18 6.072532e+10 447133.70 *
## 27) medianIncome>=5.83665 340 2.625969e+12 376301.90
## 54) housingMedianAge< 39.5 233 1.755740e+12 361662.30
## 108) medianIncome< 6.5685 165 1.248728e+12 344915.80
## 216) sdbedrooms< 0.9566343 19 1.337199e+11 271936.80 *
## 217) sdbedrooms>=0.9566343 146 1.000646e+12 354413.10
## 434) longitude>=-118.345 44 3.178182e+11 322547.80
## 868) latitude>=33.73 36 1.895320e+11 303216.70
## 1736) latitude< 34.105 26 7.657404e+10 273738.50
## 3472) medianIncome< 6.05235 12 1.317197e+10 248208.30 *
## 3473) medianIncome>=6.05235 14 4.887652e+10 295621.40 *
## 1737) latitude>=34.105 10 3.162268e+10 379860.10 *
## 869) latitude< 33.73 8 5.429528e+10 409537.80 *
## 435) longitude< -118.345 102 6.188777e+11 368158.90
## 870) latitude>=34.165 74 4.027287e+11 347850.10
## 1740) longitude>=-122.105 40 1.687833e+11 318397.50
## 3480) population< 1183 21 1.086517e+11 297885.70
## 6960) sdbedrooms>=1.006619 13 5.865864e+10 267484.60 *
## 6961) sdbedrooms< 1.006619 8 1.845383e+10 347287.50 *
## 3481) population>=1183 19 4.153068e+10 341068.50 *
## 1741) longitude< -122.105 34 1.584261e+11 382500.10
## 3482) latitude>=37.675 22 1.020210e+11 358872.80
## 6964) longitude>=-122.455 11 2.696260e+10 322481.80 *
## 6965) longitude< -122.455 11 4.592375e+10 395263.70 *
## 3483) latitude< 37.675 12 2.160751e+10 425816.80 *
## 871) latitude< 34.165 28 1.049643e+11 421832.40
## 1742) longitude>=-118.375 7 2.046414e+10 373014.40 *
## 1743) longitude< -118.375 21 6.225707e+10 438105.00
## 3486) latitude>=33.96 12 2.785386e+10 413608.40 *
## 3487) latitude< 33.96 9 1.760089e+10 470767.10 *
## 109) medianIncome>=6.5685 68 3.484572e+11 402297.20
## 218) housingMedianAge< 34.5 45 2.159150e+11 382331.20
## 436) sdbedrooms< 0.996309 16 7.112102e+10 346068.80 *
## 437) sdbedrooms>=0.996309 29 1.121467e+11 402338.00
## 874) population>=777.5 22 7.902274e+10 391077.30
## 1748) sdbedrooms>=1.023652 11 3.866401e+10 361236.40 *
## 1749) sdbedrooms< 1.023652 11 2.076811e+10 420918.30 *
## 875) population< 777.5 7 2.156668e+10 437728.90 *
## 219) housingMedianAge>=34.5 23 7.950541e+10 441361.20
## 438) medianIncome< 6.66095 9 3.304613e+10 405811.10 *
## 439) medianIncome>=6.66095 14 2.777295e+10 464214.90 *
## 55) housingMedianAge>=39.5 107 7.115548e+11 408180.60
## 110) latitude>=37.8 25 1.372962e+11 367368.10
## 220) longitude>=-122.235 7 3.756178e+10 317542.90 *
## 221) longitude< -122.235 18 7.559848e+10 386744.60 *
## 111) latitude< 37.8 82 5.199214e+11 420623.50
## 222) longitude>=-118.415 43 2.775926e+11 391121.10
## 444) latitude>=34.155 11 8.083999e+10 336927.40 *
## 445) latitude< 34.155 32 1.533407e+11 409750.20
## 890) latitude< 34.05 19 9.137053e+10 385063.30 *
## 891) latitude>=34.05 13 3.346703e+10 445831.00 *
## 223) longitude< -118.415 39 1.636365e+11 453151.80
## 446) medianIncome< 6.35185 20 9.034138e+10 429325.20
## 892) housingMedianAge< 49.5 13 5.041017e+10 398169.30 *
## 893) housingMedianAge>=49.5 7 3.876911e+09 487186.30 *
## 447) medianIncome>=6.35185 19 4.998937e+10 478232.30 *
## 7) medianIncome>=7.11015 798 5.681139e+12 431752.10
## 14) medianIncome< 7.8141 268 2.032762e+12 377286.40
## 28) housingMedianAge< 26.5 159 9.247969e+11 343186.20
## 56) longitude>=-122.025 131 6.641152e+11 331047.40
## 112) population< 386 12 1.163472e+11 263350.10 *
## 113) population>=386 119 4.872271e+11 337874.00
## 226) longitude>=-117.235 16 6.496844e+10 294287.50 *
## 227) longitude< -117.235 103 3.871404e+11 344644.70
## 454) sdbedrooms< 1.11106 94 2.743545e+11 337829.80
## 908) medianIncome< 7.72755 83 2.012290e+11 331335.00
## 1816) longitude>=-117.875 26 3.555382e+10 312265.40
## 3632) medianIncome< 7.24665 7 2.861914e+09 278228.60 *
## 3633) medianIncome>=7.24665 19 2.159465e+10 324805.30 *
## 1817) longitude< -117.875 57 1.519076e+11 340033.40
## 3634) longitude< -119.825 32 7.117434e+10 321646.90
## 7268) longitude>=-121.79 7 1.972105e+10 281214.30 *
## 7269) longitude< -121.79 25 3.680553e+10 332968.00
## 14538) sdrooms< 7.574982 14 2.141607e+10 322307.10 *
## 14539) sdrooms>=7.574982 11 1.177321e+10 346536.40 *
## 3635) longitude>=-119.825 25 5.606816e+10 363568.10
## 7270) population>=1303.5 18 1.258439e+10 348494.40 *
## 7271) population< 1303.5 7 2.887712e+10 402328.90 *
## 909) medianIncome>=7.72755 11 4.320611e+10 386836.50 *
## 455) sdbedrooms>=1.11106 9 6.282355e+10 415822.70 *
## 57) longitude< -122.025 28 1.510677e+11 399978.80
## 114) medianIncome< 7.26445 7 1.445975e+10 315771.40 *
## 115) medianIncome>=7.26445 21 7.042649e+10 428047.90
## 230) housingMedianAge< 20 10 2.774842e+10 390840.10 *
## 231) housingMedianAge>=20 11 1.624829e+10 461873.10 *
## 29) housingMedianAge>=26.5 109 6.533780e+11 427028.70
## 58) latitude>=37.59 19 9.352760e+10 363552.70 *
## 59) latitude< 37.59 90 4.671338e+11 440429.20
## 118) sdbedrooms< 1.008487 36 2.764711e+11 411772.40
## 236) longitude>=-118.3 12 1.173012e+11 358216.80 *
## 237) longitude< -118.3 24 1.075422e+11 438550.20
## 474) population>=989.5 10 7.339537e+10 407910.10 *
## 475) population< 989.5 14 1.805277e+10 460436.10 *
## 119) sdbedrooms>=1.008487 54 1.413900e+11 459533.80
## 238) population>=900.5 30 9.193934e+10 444390.30
## 476) population< 1132.5 11 4.765722e+10 412227.40 *
## 477) population>=1132.5 19 2.631532e+10 463010.90 *
## 239) population< 900.5 24 3.397116e+10 478463.10
## 478) longitude>=-118.395 12 2.635757e+10 462217.20 *
## 479) longitude< -118.395 12 1.279244e+09 494709.10 *
## 15) medianIncome>=7.8141 530 2.451337e+12 459293.30
## 30) housingMedianAge< 20.5 168 9.529151e+11 421527.70
## 60) medianIncome< 9.07295 97 4.792563e+11 387658.90
## 120) sdbedrooms< 0.9688072 12 5.598800e+10 333475.00 *
## 121) sdbedrooms>=0.9688072 85 3.830639e+11 395308.40
## 242) longitude>=-117.855 33 9.687741e+10 363527.30
## 484) medianIncome< 8.00925 10 2.536026e+10 325220.00 *
## 485) medianIncome>=8.00925 23 5.046247e+10 380182.60
## 970) population< 1633.5 13 2.066656e+10 364084.60 *
## 971) population>=1633.5 10 2.204747e+10 401110.00 *
## 243) longitude< -117.855 52 2.317027e+11 415477.10
## 486) population>=825.5 41 1.827482e+11 403963.60
## 972) latitude>=34.255 26 1.200574e+11 387677.00
## 1944) longitude>=-121.48 7 5.039676e+10 332142.90 *
## 1945) longitude< -121.48 19 4.011885e+10 408136.90 *
## 973) latitude< 34.255 15 4.384009e+10 432193.70 *
## 487) population< 825.5 11 2.326151e+10 458391.40 *
## 61) medianIncome>=9.07295 71 2.103757e+11 467799.20
## 122) latitude>=37.55 13 9.099585e+10 425277.30 *
## 123) latitude< 37.55 58 9.060590e+10 477330.00
## 246) medianIncome< 11.03525 40 7.956865e+10 468553.10
## 492) longitude>=-117.62 7 1.710953e+10 429686.00 *
## 493) longitude< -117.62 33 4.964147e+10 476797.60
## 986) sdbedrooms< 1.069176 18 3.766581e+10 460883.80 *
## 987) sdbedrooms>=1.069176 15 1.946996e+09 495894.20 *
## 247) medianIncome>=11.03525 18 1.108509e+09 496834.10 *
## 31) housingMedianAge>=20.5 362 1.147614e+12 476819.80
## 62) population< 58.5 7 1.262662e+11 311614.60 *
## 63) population>=58.5 355 8.265316e+11 480077.40
## 126) medianIncome< 8.79485 139 4.736620e+11 459544.40
## 252) housingMedianAge< 27.5 39 1.625901e+11 417584.90
## 504) sdbedrooms< 1.006616 15 4.954047e+10 384766.80 *
## 505) sdbedrooms>=1.006616 24 8.679716e+10 438096.20
## 1010) latitude>=34.145 15 4.039553e+10 420773.40 *
## 1011) latitude< 34.145 9 3.439850e+10 466967.40 *
## 253) housingMedianAge>=27.5 100 2.156294e+11 475908.70
## 506) latitude>=37.8 17 4.515812e+10 435047.30 *
## 507) latitude< 37.8 83 1.362736e+11 484277.90
## 1014) longitude>=-117.985 7 3.339768e+10 436843.30 *
## 1015) longitude< -117.985 76 8.567491e+10 488646.90
## 2030) sdrooms< 6.164576 7 3.859083e+10 454257.60 *
## 2031) sdrooms>=6.164576 69 3.796589e+10 492135.60
## 4062) sdbedrooms< 1.014645 24 2.833901e+10 482375.70
## 8124) population>=850 13 2.307873e+10 469692.80 *
## 8125) population< 850 11 6.978729e+08 497364.50 *
## 4063) sdbedrooms>=1.014645 45 6.121431e+09 497340.90 *
## 127) medianIncome>=8.79485 216 2.565548e+11 493290.80
## 254) sdbedrooms< 0.8691995 7 1.277977e+11 418715.00 *
## 255) sdbedrooms>=0.8691995 209 8.852236e+10 495788.50
## 510) medianIncome< 10.12615 72 8.146550e+10 487773.10
## 1020) longitude>=-118.04 7 1.918159e+10 456457.70 *
## 1021) longitude< -118.04 65 5.468009e+10 491145.50
## 2042) latitude>=37.65 10 1.827047e+10 468490.60 *
## 2043) latitude< 37.65 55 3.034400e+10 495264.60
## 4086) population< 734 15 2.705373e+10 482634.10 *
## 4087) population>=734 40 0.000000e+00 500001.00 *
## 511) medianIncome>=10.12615 137 0.000000e+00 500001.00 *##
## Call:
## randomForest(formula = medianHouseValue ~ longitude + latitude + housingMedianAge + sdrooms + sdbedrooms + population + medianIncome, data = cahousing_train, importance = TRUE)
## Type of random forest: regression
## Number of trees: 500
## No. of variables tried at each split: 2
##
## Mean of squared residuals: 2638134924
## % Var explained: 80.03## Distribution not specified, assuming gaussian ...## gbm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge +
## sdrooms + sdbedrooms + population + medianIncome, data = cahousing_train)
## A gradient boosted model with gaussian loss function.
## 100 iterations were performed.
## There were 7 predictors of which 6 had non-zero influence.Now, we estimate their RMSE to find out which model is our best predictive model.
## [1] 72956.15## [1] 70096.2## [1] 61913.63## [1] 52122.9## [1] 74014.25According to our results, we can find the Random Forecast model has lower RMSE, so we use this to build our best predictive model.
We can find that above graphs are perform well, because Figure1: Actual Median House Value in California are almost match with Figure 4-2: Prediction Value in California. Therefore, we can indicate the random forest is the best predictive model in this case. In conclusion, our predictive model is effective, then we may use this predictive model to forecast other states or area in United State.